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## Main Question or Discussion Point

Dear Physics Forum personnel,

I am currently reading the books called "Linear Algebra Done Right" by S. Axler and "Linear Algebra Done Wrong" by S. Treil. On the next semester, I will be taking the "Second Course in Linear Algebra" which will treat the following topics: determinants, dual/quotient/tensor spaces, invariant subspaces, diagonalization, spectral theorem, inner-product spaces, quadratic/canonical forms, groups-rotations/symmetry, basic representation theory, and finite groups. Since the course does not have a required text, I am thinking about choosing on by myself. Could you provide me some names of books that cover those topics in-depth?

I am currently reading the books called "Linear Algebra Done Right" by S. Axler and "Linear Algebra Done Wrong" by S. Treil. On the next semester, I will be taking the "Second Course in Linear Algebra" which will treat the following topics: determinants, dual/quotient/tensor spaces, invariant subspaces, diagonalization, spectral theorem, inner-product spaces, quadratic/canonical forms, groups-rotations/symmetry, basic representation theory, and finite groups. Since the course does not have a required text, I am thinking about choosing on by myself. Could you provide me some names of books that cover those topics in-depth?